Neymar'sgoal saw him join Romario in equal third on Brazil's all-time goal scoring list.
Marko Arnautovic gave Brazil a couple of early frights before the South Americans went ahead in the 36th minute, Jesus scoring with a delightful dinked effort from a hard angle for his 10th goal in 17 internationals. It was the last game of preparation before the World Cup.
Brazil started the game in Vienna with a midfield formation that had only been on the pitch together for 60 minutes since Tite took over the national team.
They will head to Russian Federation in confident mood, having lost only one out of 21 games - a friendly against Argentina - in Tite's two years in charge.
Few children anticipate Christmas with quite the same bug-eyed glee palpable in the Brazilian advertising sector when the World Cup rolls around.
Six minutes later, Selecao bagged a third goal as Coutinho played a neat one-two with Roberto Firmino before placing the ball beyond a helpless Lindner.
Second place, however, is up for grabs with Serbia looking the most likely, especially given they may benefit from the fact they are likely to face a Brazil team already through after the first two rounds of matches.
Which team are you supporting in the 2018 World Cup?
On 63 minutes, the PSG attacker produced a moment of sheer fleet-footed, bamboozling Leicester defender Aleksandar Dragović and leaving him on his arse, before slotting past Heinz Lindner... Indeed, they beat world champions Germany 2-1 last weekend, and will certainly enter their UEFA Nations League campaign later this year full of confidence following an upturn in form.
Against Austria, he had no attempt on goal in the opening hour but went down three times following rough challenges by the home side.
Arnautovic had another half-chance in the 22nd minute as Foda's side continued to cause Brazil problems in a wide position, but the attacker scuffed over the crossbar from close range. But Coutinho makes Brazil a more efficient team and certainly much more joyful to watch.
"Neymar looked incredibly fit and fresh at Anfield".